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Trigonometry Honors Pacing Guide & Planning for 2014-2015 Algebra I Prerequisites It is of great importance that the student performs a serious introspective analysis concerning the weaknesses one may have in Algebra I and make amends as soon as possible! Algebra I & II will be your foundation for the rest of your High School and College Math, and it is not enough to “know”, you must be proficient in all of the main points mentioned in next table. Things We Always Do In Math – So We Need to Master Them 1) Distribute 8) Combine Like Terms 2) Foil 9) Swap & Solve [Inverse Functions] 3) Solve 10) Apply Rules [Exponents – Radicals – Logs] 4) Factor 5) Simplify 11) Graph [Linear, Non Linear Eq & Inequalities] 6) Grouping & Factoring Polynomials 7) Domain & Range [Linear, Quadratic & Rational Equations] 12) Apply Formulas a) (x ± y)2 = x2 ± 2xy + y2 b) (x2 - y2) = (x + y) (x – y) c) (a3 ± b3) = (a ± b) (a2+ab+b2) d) (x2 + y2) = (x + yi ) (x – yi ) e) Quadratic Formula 13) Dividing Polynomials (Long Division & Synthetic Division) Trigonometry Honors Pacing Guide & Planning for 2014-2015 Week Month From To 1 2 3 4 5 6 7 8 9 10 August 18 22 August 25 29 September 1 5 September 8 12 September 15 19 September 22 26 September / October 29 3 October 6 10 October 13 17 October 20 24 Grading Scale Tests 40% Regular Quizzes 15% Pop Quizzes 15% Homework Assignments 10% Special Homework Assignments 10% Class Participation 5% School Supplies 5% Cell Phones Cell Phones need to be turned off and placed [Never use pen in class] inside the backpacks Failure to do this will result in cell phone to be taken away and returned at the end of classes upon receipt of students paper with 25 lines saying “Cell phones are not permitted in classroom” School Supplies Needed in Class Graphing Calculator [Recommended but not required] Scientific Calculator like the TI-30XS [$12.00-15.00] Composition Book & Stick Glue Binder with College Ruled Paper & Graph Paper 6 Clear Plastic Sheet Protectors 6” Ruler + Circle Templates Mechanical Pencil & Eraser [Never use pen in class] Q-1 Trigonometry Honors Pacing Guide & Planning for 2014-2015 To Cover in First Quarter ---------------------------------------------------------------Ch 5 - August 18 to September 19 [Weeks 1 to 5] 5.1 Angles and Radian Measures 5.2 Right Angle Trigonometry 5.3 Trig Functions of Any Angle 5.4 Trig Functions of Real #’s; Periodic Functions ======================================== Ch 7 - September 22 to October 3 [Weeks 6 & 7] 7.1 The Law of Sines 7.2 The Law of Cosines ======================================== Ch 5 - October 6 to October 23 [Weeks 8 to 10] 5.5 5.6 5.7 5.8 5.R Graphing Sine & Cosine Functions Graphs of Other Trig Functions Inverse Trig Functions Applications of Trig Functions Summary & Review I) August 18 to September 19 [Weeks 1 to 5] • 5.1 - Angles and Radian Measures • 5.2 - Right Angle Trigonometry • 5.3 - Trigonometric Functions of Any Angle (Unit Circle) • 5.4 - Trigonometric Functions of Real Numbers – Periodic Functions II) September 22 to October 03 [Weeks 6 and 7] • 7.1 – The Law of Sines • 7.2 The Law of Cosines III) October 06 to October 23 [Weeks 8, 9 & 10] • 5.5 Graphs of Sine & Cosine Functions • 5.6 Graphs of Other Trigonometric Functions • 5.7 – Inverse Trigonometric Functions • 5.8 – (Review) Applications of Trigonometric Functions • 5.8 – Applications of Trigonometric Functions I) August 18 to September 19 [Weeks 1 to 5] 5.1 5.2 5.3 5.4 - Angles and Radian Measures - Examples: 1-9 + 1-125/8 Right Angle Trigonometry - Ex: 1-10 + 1-107/6 Trigonometric Functions of Any Angle (Unit Circle) - Ex: 1-10 + 1-107/6 Trigonometric Functions of Real #’s – Periodic Functions - Ex: 1-10 + 1-107/6 II) September 22 to October 03 [Weeks 6 and 7] 7.1 – The Law of Sines - Ex: 1-7 + 79/4 7.2 - The Law of Cosines - Ex: 1-4 + 67/4 III) October 06 to October 23 [Weeks 8, 9 & 10] 5.5 5.6 5.7 5.8 5.8 Graphs of Sine & Cosine Functions - Ex: 1-9 + 121/8 Graphs of Other Trigonometric Functions - Ex: 1-5 + 101/6 – Inverse Trigonometric Functions - Ex: 1-9 + 125/8 – (Review) Applications of Trigonometric Functions - Ex: 1-8 + 81/4 – Applications of Trigonometric Functions – 117/8 Day Date Q-1 Trigonometry Honors Pacing Guide & Planning for 2014-2015 P To Cover Wk-1 Periods 1, 2 & 5 [August 18-22] Q/T HW 1–3-5 Mon 8/18 Classroom Management Needs HW - 5.1 Introduce 5.1 using the Unit Circle and display dynamic presentation from the internet to start forming the necessary visualization in the mind of the students. Ex: 1-9 Divide class in groups by row and see who answers faster the conversion Degrees/Radians – Make it a competitive moment. 1-125/8 Introduce 5.1 using the Unit Circle and display dynamic presentation from the internet to start forming the necessary visualization in the mind of the students. 2–4-6 Tue 8/19 Have class exercise through the 9 Examples of 5.1 in their Composition Notebooks Classroom Management Needs Divide class in groups by row and see who answers faster the conversion Degrees/Radians – Make it a competitive moment. Have class exercise through the 9 Examples of 5.1 in their Composition Notebooks 3–5-1 Wed 8/20 Classroom Management Needs 5.1 Angles and Radian Measures 5.2 Right Angle Trigonometry Review 5.1 using the Unit Circle and display dynamic presentation from the internet to start forming the necessary visualization in the mind of the students. Divide class in groups by row and see who answers faster the conversion Degrees/Radians – Make it a competitive moment. Have class exercise through the 9 Examples of 5.1 in their Composition Notebooks 4–2-6 Review 5.1 using the Unit Circle and display dynamic presentation from the internet to start forming the necessary visualization in the mind of the students. 5–1-3 Thu Fri 8/22 8/21 Classroom Management Needs Review: Degrees vs. Radians – Have the class practice on Handouts 5.1a, b, c Divide class in groups by row and see who answers faster the conversion Degrees/Radians – Make it a competitive moment. HW - 5.2 Announce T 5.1 for Wednesday 1-107/6 Have class exercise through the 9 Examples of 5.1 in their Composition Notebooks Announce a test on 5.1 for Wednesday Introduce: Mr. Pit’s Triangles and their applications – Angular & Linear Speed and Have the class practice on Handouts 5.1d in class – Announce a test on 5.1 for Tuesday Ex: 1-10 Announce T 5.1 for Tuesday To Cover Wk-2 Periods 1, 2 & 5 [August 25 – 29] Q/T 6–2-4 Review: Degrees vs. Radians – Have the class practice on Handouts 5.1a, b, c Introduce: Mr. Pit’s Triangles and their applications – Angular & Linear Speed and Have the class practice on Handouts 5.1d in class – Announce a test on 5.1 for Tuesday 1–3-5 Day Mon P Homework HW - 5.1 T-5.1 for Wed Ex: 1-9 1-125/8 Review: Section 5.1 (45 Minutes) T-5.1 Administer: T-5.1 (1 hour) Wed 2–4-6 3–5-1 4–6-2 5.1 Angles and Radian Measures Thu Tue Trigonometry Honors Pacing Guide & Planning for 2014-2015 Review: T-5.1 Review: T-5.1 Fri 8/29 8/28 8/27 8/26 8/25 Date Q-1 5.2 Right Angle Trigonometry Review: Section 5.1 (45 Minutes) T-5.1 Administer: T-5.1 (1 hour) Review: Mr. Pit’s Triangles and their applications – Angular & Linear Speed – Go Through HW Exercises in classroom Review: Mr. Pit’s Triangles and their applications – Angular & Linear Speed – Go Through HW Exercises in classroom HW - 5.2 Ex: 1-10 1-107/6 No School 1–3-5 2–4-6 6–2-4 5–1-3 Day Mon Thu Wed Tue P Fri 9/05 9/04 9/03 9/02 9/01 Date Trigonometry Honors Pacing Guide & Planning for 2014-2015 To Cover Wk-3 Periods 1, 2 & 5 [September 01 - 05] Q/T Homework HW - 5.1 No School Ex: 1-9 Labor Day 1-125/8 5.1 Angles & Radian Measures 5.2 Right Angle Trigonometry Review 5.2: Mr. Pit’s Triangles and their applications – Angular & Linear Speed – Go Through HW Exercises in classroom T-5.2 Thu HW - 5.2 Review: Mr. Pit’s Triangles and their applications – Angular & Linear Speed – Go Through HW Exercises in classroom T-5.2 Fri Ex: 1-10 1-107/6 5.3 Trig Functions of Any Angle Review: 5.2 and any problem in Home Exercises T-5.2 Administer: T-5.2 HW - 5.3 Review: 5.2 and any problem in Home Exercises Administer: T-5.2 T-5.2 Ex: 1-8 1-115/8 To Cover Periods 1, 2 & 5 Wk-4 [September 08 - 12] Q/T Introduce 5.3 – Trig Functions of any angle Ex: 1-9 1-125/8 HW - 5.2 5.1 Angles and Radian Measures Ex: 1-10 Introduce 5.3 – Trig Functions of any angle 1-107/6 5–1-3 6–2-4 5–1-3 Wed Thu Fri 9/18 9/17 5.2 Right Angle Trigonometry 9/19 Homework HW - 5.1 3–5-1 P 4–6-2 Day Mon Tue 9/16 9/15 Date Q-1 Trigonometry Honors Pacing Guide & Planning for 2014-2015 5.3 Trig Functions of Any Angle 5.4 Trig Functions of Real #’s; Periodic Functions HW - 5.3 Review 5.3 – Trig Functions of any angle – Review Problems from HW Exercises T-5.14 Fri Ex: 1-8 1-115/8 HW - 5.4 Review 5.3 – Trig Functions of any angle – Review Problems from HW Exercises Review 5.3 Administer T-5.14 Test T 5.14 Mon Test T 5.14 Ex: 1-4 1-63/4 Mon 1–3-5 2–4-6 Day P Tue 8/16 9/22 Date Q-1 Trigonometry Honors Pacing Guide & Planning for 2014-2015 To Cover Wk-5 Periods 1, 2 & 5 [September 15 - 19] Q/T Homework HW - 5.1 Review 5.3 Ex: 1-9 Administer T-5.13 1-125/8 HW - 5.2 5.1 Angles and Radian Measures Review T-5.13 Introduce 5.4: Trig Functions of Real Numbers & Periodic Functions Ex: 1-10 1-107/6 3–5-1 4–2-6 5–1-3 Wed Thu Fri 9/19 8/18 8/17 5.2 Right Angle Trig 5.3 Trig Functions of Any Angle HW - 5.3 Review T-5.13 Introduce 5.4: Trig Functions of Real Numbers & Periodic Functions Test T 5.14 Fri Ex: 1-8 1-115/8 5.4 Trig Functions of Real #’s; Periodic Functions Early Release Review 5.4: Trig Functions of Real Numbers & Periodic Functions HW - 5.4 Test T 5.14 Mon Ex: 1-4 1-63/4 Review 5.4 (45 Min) Administer T-5.14 (1 hour) T 5.14 1–3-5 To Cover 3–5-1 Periods 1, 2 & 5 Wk-6 [September 22 - 26] Q/ T Homework HW - 7.1 Review 5.4 (45 Min) T 5.14 Administer T-5.14 (1 hour) 2–4-6 Day Mon Tue P Wed 9/24 9/23 9/22 Date Q-1 Trigonometry Honors Pacing Guide & Planning for 2014-2015 Ex: 1-7 1 – 79/4 Review T-5.14 Introduce 7.1: The Law of Sines 7.1 The Law of Sines 7.2 The Law of Cosines Review T-5.14 Introduce 7.1: The Law of Sines Thu TPD Fri 4–2-6 9/26 9/25 HW – 7.2 No Classes Teacher’s Planning Day Review 7.1: The Law of Sines (45 Min) Administer T-7.1 (1 hour) Ex: 1-4 1 – 67/4 Day To Cover Q/T Thu Homework HW - 7.1 Ex: 1-7 Administer: T-7.1 (1 hour) Review: T-7.1 Tue Wed Periods 1, 2 & 5 [Sep 29 – Oct 3] Review 7.1: The Law of Sines (45 Min) Mon P Wk-7 Introduce: 7.2 7.1 The Law of Sines 7.2 The Law of Cosines Review: T-7.1 1 – 79/4 T-7.2 Thu T-7.2 Fri Introduce: 7.2 HW – 7.2 Review T-7.2 (45 Min) Administer T-7.2 (1 hour) T-7.2 Ex: 1-4 1 – 67/4 Fri 10/03 10/02 10/01 9/30 9/29 Date Q-1 Trigonometry Honors Pacing Guide & Planning for 2014-2015 Review T-7.2 (45 Min) T-7.2 Administer T-7.2 (1 hour) Day To Cover Classwork: Have the class in groups graphing [Group Grading] Tue Introduce 5.5 & 5.6: Graphing the 6 Trig Functions 5.5 Graphing Sine & Cosine Functions 5.6 Graphs of Other Trig Functions 5.7 Inverse Trig Functions Thu 5.8 Applications of Trig Functions 10/09 Periods 1, 2 & 5 Introduce 5.5 & 5.6: Graphing the 6 Trig Functions Mon P Wk-8 5.R Summary & Review Classwork: Have the class in groups graphing [Group Grading] Q/ T Homework HW 5.5 Ex: 1-9 Fri HW 5.6 Ex: 1-5 1-101/6 Introduce 5.7: Inverse Trig Functions HW 5.7 Ex: 1-9 Introduce 5.8: Applications Trig Functions 1-125/8 Review 5.5 & 5.6: Graphing the 6 Trig Functions Review 5.7: Inverse Trig Functions Review 5.8: Applications Trig Functions Classwork: Have the class in groups graphing [Group Grading] 10/10 [October 6 - 10] 1-121/8 Wed 10/08 10/07 10/06 Date Q-1 Trigonometry Honors Pacing Guide & Planning for 2014-2015 Early Release HW 5.8 Ex: 1-8 1-81/4 HW 5.R 1-117/8 Day Date Q-1 Trigonometry Honors Pacing Guide & Planning for 2014-2015 P To Cover Wk-9 Periods 1, 2 & 5 [October 13 - 17] Q/T Homewor k HW 5.5 Review 5.7: Inverse Trig Functions Mon 8/16 Review 5.5 & 5.6: Graphing the 6 Trig Functions Ex: 1-9 Review 5.8: Applications Trig Functions 1-121/8 Classwork: Have the class in groups graphing [Group Grading] Tue 8/17 Review 5.5 & 5.6: Graphing the 6 Trig Functions Review 5.7: Inverse Trig Functions 5.5 Graphing Sine & Cosine Functions Wed Thu 8/19 8/18 5.6 Graphs of Other Trig Functions 5.7 Inverse Trig Functions Review 5.8: Applications Trig Functions HW 5.6 QGraph Ex: 1-5 1-101/6 Classwork: Have the class in groups graphing [Group Grading] Review 5.5 & 5.6: Graphing the 6 Trig Functions Review 5.7: Inverse Trig Functions Review 5.8: Applications Trig Functions 5.8 Applications of Trig Functions Classwork: Have the class in groups graphing [Group Grading] 5.R Summary & Review Review 5.7: Inverse Trig Functions Review 5.8: Applications Trig Functions HW 5.7 QGraph Ex: 1-9 1-125/8 HW 5.8 T-5.78 Ex: 1-8 1-81/4 Administer T-5.78 Fri 8/20 Review 5.7: Inverse Trig Functions Review 5.8: Applications Trig Functions Administer T-5.78 T-5.78 HW 5.R 1-117/8 Day P To Cover 5.1 Angles and Radian Measures Mon 10/20 Date Q-1 Trigonometry Honors Pacing Guide & Planning for 2014-2015 Periods 1, 2 & 5 Wk-10 [October 20 - 24] Q/ T Homework HW 5.5 Review Chapter 5: (45 Min) T-5 Administer T-5: (1 Hour) Ex: 1-9 1-121/8 Tue 5.3 Trig Functions of Any Angle Wed 5.4 Trig Functions of Real #’s; Periodic Functions 5.5 Graphing Sine & Cosine Functions 5.6 Graphs of Other Trig Functions Thu 10/23 10/22 10/21 5.2 Right Angle Trigonometry 5.7 Inverse Trig Functions HW 5.6 Review Chapter 5: (45 Min) T-5 Administer T-5: (1 Hour) Ex: 1-5 1-101/6 Review T-5 HW 5.7 Review 7.1 & 7.2 Ex: 1-9 1-125/8 Review T-5 End of Grading Period HW 5.8 Ex: 1-8 Review 7.1 & 7.2 1-81/4 TPD Fri 10/24 5.8 Applications of Trig Functions 5.R Summary & Review No Classes HW 5.R Teacher’s Planning Day 1-117/8 Q-2 Trigonometry Honors Pacing Guide & Planning for 2014-2015 To Cover in Second Quarter Chapter 6 6.1 Verifying Trig Identities 6.2 Sum & Difference Formulas 6.3 Double Angle, Power Reducing & ½ Angle Formulas 6.4 Product-to-Sum & Sum-to-Product Formulas 6.5 Trigonometric Equations 6.R Summary & Review Chapter 7 7.3 Polar Coordinates 7.4 Graphs of Polar Equations 7.5 Complex Numbers in Polar Form; DeMoivre’s Theorem 7.6 Vectors 7.7 The Dot Product Q-3 Trigonometry Honors Pacing Guide & Planning for 2014-2015 To Cover in Third Quarter Chapter 2 2.1 2.2 2.3 2.4 2.5 2.6 Basics of Functions & Their Graphs More on Functions & Their Graphs Linear Functions & Slope More on Slope Transformations of Functions Combinations of Functions & Composite Functions Chapter 9 9.1 9.2 9.3 9.4 9.5 Matrix Solutions to Linear Systems Inconsistent & Dependent Systems & Appl. Matrix Operations & Applications Multiplicative Inverses of Matrices & Matrix Eq Determinants & Cramer’s Rule Chapter 3 3.1 3.2 3.3 3.4 Quadratic Equations Polynomial Functions & Their Graphs (÷) Polynomials, Remainder & Factor Theorem Zeroes of Polynomial Functions Q-4 Trigonometry Honors Pacing Guide & Planning for 2014-2015 To Cover in Fourth Quarter Chapter 11 11.1 Sequences & Summation Notation 11.2 Arithmetic Sequences 11.3 Geometric Sequences & Series 11.4 Mathematical Induction 11.5 The Binomial Theorem 11.6 Counting Principles, Permutations & Combinations 11.7 Probability 11.R Summary & Review